An unified approach to meteorological modelling based on multiple-scales asymptotics

Advances in Geosciences

Volumn 15, Issue , 2008, Pages 23-33

  Klein, R ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

HURRICANE; METEOROLOGY; NUMERICAL MODEL; PHYSICS; QUASI-GEOSTROPHIC FLOW; STRATOCUMULUS;

AUSTRALASIA; AUSTRALIA; NEW SOUTH WALES; SYDNEY [NEW SOUTH WALES];

EID: 41249094043     PISSN: 16807340     EISSN: 16807359     Source Type: Journal    
DOI: 10.5194/adgeo-15-23-2008     Document Type: Article

References (18)

1. Biello, J. and Majda, A.: Transformations for temperature flux in multiscale models of the tropics, Theor. Comp. Fluid Dyn., 20, 405-420, 2006.
2. Botta, N., Klein, R., and Almgren, A.: Dry atmosphere asymptotics, PIK-Report 55, Potsdam Institute for Climate Impact Research, 1999.
3. Botta, N., Klein, R., and Almgren, A.: Asymptotic Analysis of a Dry Atmosphere, in: ENUMATH 99 - Proc. 3rd Europ. Conf. on Num. Math., Jyväskylä, Finland, edited by: Neittaanmäki, P. and Tiihonen, T., World Scientific, Singapore, 2000.
4. E, W. and Engquist, B.: The heterogeneous multiscale method, Comm. Math. Sci., 1, 87-132, 2003.
5. Grabowski, W.: An improved framework for superparameterization, J. Atmos. Sci., 61, 1940-1952, 2004.
6. Keller, J. and Ting, L.: Approximate equations for large scale atmospheric motions, Internal Report, Inst. for Mathematics & Mechanics (renamed to Courant Institute of Mathematical Sciences in 1962), NYU, (http://www.arxiv.org/abs/physics/0606114), 1951.
7. Klein, R.: Asymptotic Analyses for Atmospheric Flows and the Construction of Asymptotically Adaptive Numerical Methods, ZAMM, 80, 765-777, 2000.
8. Klein, R.: An applied mathematical view of meteorological modelling, in: Applied Mathematics Entering the 21st century, Invited talks from the ICIAM 2003 Congress, Vol. 116, SIAM Proceedings in Applied Mathematics, 177-219, 2004.
9. Klein, R. and Majda, A.: Systematic multiscale models for deep convection on mesoscales, Theor. Comp. Fluid Dyn., 20, 525-551, 2006.
10. Klein, R., Mikusky, E., and Owinoh, A.: Multiple scales asymptotics for atmospheric flows, in: 4th European Conference of Mathematics, Stockholm, Sweden, edited by: Laptev, A., European Mathematical Society Publishing House, 201-220, 2004.
11. Majda, A.: Multiscale Models with Moisture and Systematic Strategies for Superparameterization, J. Atmos. Sci., 64, 2726-2734, 2007a.
12. Majda, A.: New multiscale models and self-similarity in tropical convection, J. Atmos. Sci., 64, 1393-1404, 2007b.
13. Majda, A. and Biello, J.: A multiscale model for tropical intraseasonal oscillations, Proc. Natl. Acad. Sci. USA, 101, 4736-4741, 2004.
14. Majda, A. J. and Klein, R.: Systematic Multiscale Models for the Tropics, J. Atmos. Sci., 60, 393-408, 2003.
15. Mikusky, E.: On the structure of concentrated atmospheric vortices in the gradient wind regime and their motion on synoptic scales, Ph.D. thesis, Hamburg University, 2007.
16. Mikusky, E., Owinoh, A., and Klein, R.: On the influence of diabatic effects on the motion of 3D-mesoscale vortices within a baroclinic shear flow, in: Computational Fluid and Solid Mechanics 2005, Elsevier, Amsterdam, 766-768, 2005.
17. Pedlosky, J.: Geophysical Fluid Dynamics, Springer-Verlag, New York, 2. Edn., 1987.
18. Zeytounian, R.: Asymptotic modelling of atmospheric flows, Springer-Verlag, Berlin, Heidelberg, New York, 1990.